649853208576 has 576 divisors, whose sum is σ = 2334892210560. Its totient is φ = 171072552960.

The previous prime is 649853208551. The next prime is 649853208577. The reversal of 649853208576 is 675802358946.

It is a happy number.

649853208576 is a `hidden beast` number, since 6 + 4 + 9 + 8 + 53 + 2 + 0 + 8 + 576 = 666.

It is a tau number, because it is divible by the number of its divisors (576).

It is not an unprimeable number, because it can be changed into a prime (649853208577) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (13) of ones.

It is a polite number, since it can be written in 47 ways as a sum of consecutive naturals, for example, 44800941 + ... + 44815443.

It is an arithmetic number, because the mean of its divisors is an integer number (4053632310).

Almost surely, 2^649853208576 is an apocalyptic number.

649853208576 is a gapful number since it is divisible by the number (66) formed by its first and last digit.

It is an amenable number.

It is a practical number, because each smaller number is the sum of distinct divisors of 649853208576, and also a Zumkeller number, because its divisors can be partitioned in two sets with the same sum (1167446105280).

649853208576 is an abundant number, since it is smaller than the sum of its proper divisors (1685039001984).

It is a pseudoperfect number, because it is the sum of a subset of its proper divisors.

649853208576 is a wasteful number, since it uses less digits than its factorization.

649853208576 is an odious number, because the sum of its binary digits is odd.

The sum of its prime factors is 14572 (or 14549 counting only the distinct ones).

The product of its (nonzero) digits is 87091200, while the sum is 63.

The spelling of 649853208576 in words is "six hundred forty-nine billion, eight hundred fifty-three million, two hundred eight thousand, five hundred seventy-six".